Subelliptic estimates for the dbar-problem on a singular complex space

TL;DR

This paper establishes subelliptic estimates for the dbar-problem at an isolated singularity on a specific complex variety, advancing understanding of complex analysis in singular spaces.

Contribution

It provides the first proof of subelliptic estimates for the dbar-problem on the singular variety defined by z^2=xy in three complex dimensions.

Findings

Subelliptic estimates are proven at the singularity.

The results apply to the specific singularity z^2=xy.

This advances analysis on singular complex spaces.

Abstract

We prove subelliptic estimates for the dbar-problem at the isolated singularity of the variety $z^2=xy$ in $\mathbb{C}^3$.